A pencil of Enriques surfaces of index one with no section

Starr, Jason

doi:10.2140/ant.2009.3.637

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A pencil of Enriques surfaces of index one with no section

Jason Michael Starr

Vol. 3 (2009), No. 6, 637–652

DOI: 10.2140/ant.2009.3.637

Abstract

Monodromy arguments and deformation-and-specialization are used to prove existence of a pencil of Enriques surfaces with no section and index 1. The same technique “completes” the strategy from Graber et al. (2005) proving that the family of witness curves for dimension $d$ depends on the integer $d$ .

Keywords

rational point, Enriques surface

Mathematical Subject Classification 2000

Primary: 14G05

Secondary: 14D06

Milestones

Received: 25 September 2008

Revised: 13 July 2009

Accepted: 14 July 2009

Published: 20 November 2009

Authors

Jason Michael Starr
Department of Mathematics Stony Brook University Stony Brook, NY 11790 United States
http://www.math.sunysb.edu/~jstarr/

Vol. 3, No. 6, 2009